Random Matrices in 2D, Laplacian Growth and Operator Theory

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dc.creatorMineev-Weinstein, Mark
dc.creatorPutinar, Mihai
dc.creatorTeodorescu, Razvan
dc.date2008-05-01
dc.date2008-05-04
dc.date.accessioned2026-07-07T09:43:01Z
dc.date.available2026-07-07T09:43:01Z
dc.descriptionSince it was first applied to the study of nuclear interactions by Wigner and Dyson, almost 60 years ago, Random Matrix Theory (RMT) has developed into a field of its own within applied mathematics, and is now essential to many parts of theoretical physics, from condensed matter to high energy. The fundamental results obtained so far rely mostly on the theory of random matrices in one dimension (the dimensionality of the spectrum, or equilibrium probability density). In the last few years, this theory has been extended to the case where the spectrum is two-dimensional, or even fractal, with dimensions between 1 and 2. In this article, we review these recent developments and indicate some physical problems where the theory can be applied.
dc.description88 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0805.0049
dc.identifierhttp://arxiv.org/abs/0805.0049
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 263001
dc.identifierdoi:10.1088/1751-8113/41/26/263001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162398
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMesoscale and Nanoscale Physics
dc.subjectSoft Condensed Matter
dc.subjectMathematical Physics
dc.subjectPattern Formation and Solitons
dc.titleRandom Matrices in 2D, Laplacian Growth and Operator Theory
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